Keilantra wants to ride her bicycle 28.8 miles this week. She has already ridden 4 miles. If she rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.

3 answers

To determine the average number of miles Keilantra needs to ride each day for the next 4 days to meet her goal, we can set up the following equation.

  1. Total miles she wants to ride: 28.8 miles
  2. Miles she has already ridden: 4 miles
  3. Miles left to ride: \( 28.8 - 4 = 24.8 \) miles
  4. Number of days left to ride: 4 days

Let \( m \) represent the average number of miles she needs to ride each day. The equation that represents the total miles she needs to ride over the next 4 days is:

\[ 4m = 24.8 \]

Now, solve for \( m \):

\[ m = \frac{24.8}{4} \] \[ m = 6.2 \]

Thus, Keilantra needs to ride an average of 6.2 miles per day for the next 4 days to meet her goal of riding 28.8 miles this week.

what about in Equation form

Sure! Let's express the entire problem as an equation to show how it can be framed mathematically.

  1. Define the variables:

    • Let \( m \) be the average number of miles Keilantra needs to ride each day for the next 4 days.
  2. Set up the equation based on what we know:

    • The total miles she wants to ride is 28.8 miles.
    • She has already ridden 4 miles, so the miles remaining to ride is \( 28.8 - 4 \).
    • If she rides for 4 more days at an average of \( m \) miles per day, then the total miles she will ride in those 4 days is \( 4m \).

So, the equation we can set up is:

\[ 4m + 4 = 28.8 \]

Now, solving the equation:

  1. Subtract 4 from both sides of the equation:

\[ 4m = 28.8 - 4 \] \[ 4m = 24.8 \]

  1. Divide both sides by 4 to solve for \( m \):

\[ m = \frac{24.8}{4} \] \[ m = 6.2 \]

Thus, in equation form, the solution is represented as:

\[ 4m + 4 = 28.8 \]

And the average number of miles Keilantra must ride each day is \( m = 6.2 \).